I guess plan is what you're planning (future, as you see and want it), while path is what's been de-facto the case.Career plans change, while career paths are set in stone. Like somebody's carrer plan was to become a successful businessman and one of the world's richest people, but the career path has led him/her to become a president of a country.

You're trying to put too fine a point on this. They mean the same thing. Please don't try to invent a difference where there is none. There are many ways in the English language to convey a single message. This is one of them.

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